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Simplifying -7(v + -2) = 7v + -14 Reorder the terms: -7(-2 + v) = 7v + -14 (-2 * -7 + v * -7) = 7v + -14 (14 + -7v) = 7v + -14 Reorder the terms: 14 + -7v = -14 + 7v Solving 14 + -7v = -14 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 14 + -7v + -7v = -14 + 7v + -7v Combine like terms: -7v + -7v = -14v 14 + -14v = -14 + 7v + -7v Combine like terms: 7v + -7v = 0 14 + -14v = -14 + 0 14 + -14v = -14 Add '-14' to each side of the equation. 14 + -14 + -14v = -14 + -14 Combine like terms: 14 + -14 = 0 0 + -14v = -14 + -14 -14v = -14 + -14 Combine like terms: -14 + -14 = -28 -14v = -28 Divide each side by '-14'. v = 2 Simplifying v = 2
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